Least Common Multiple of 5705/858, 6873/4905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5705/858, 6873/4905 quickly i.e. 13070155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5705/858, 6873/4905 is 13070155.

LCM(5705/858, 6873/4905) = 13070155

LCM of 5705/858, 6873/4905

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 5705/858,6873/4905

Given numbers are 5705/858,6873/4905

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 5705,6873

Least Common Multiple of Numerators i.e. LCM of 5705,6873 is 39210465.

GCF of Denominators means GCF of 858,4905 as per the given fractions.

GCF of 858,4905 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5705,6873

LCM of Fractions 5705/858,6873/4905 is 13070155

Given numbers has no common factors except 1. So, there LCM is their product i.e 39210465

Least Common Multiple of 5705,6873 with GCF Formula

Least Common Multiple of 5705,6873 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 5705,6873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5705,6873) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(5705,6873) x common factors =1 x 1 = 1

LCM(5705,6873) = ( 5705 × 6873 ) / 1

LCM(5705,6873) = 39210465 / 1

LCM(5705,6873) = 39210465


Lets's calculate GCF of 858,4905

3 858, 4905
286, 1635

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39210465/3

Therefore the LCM of Fractions 5705/858,6873/4905 is 13070155

Greatest Common Factor of 858,4905 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,4905 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 4905

List of positive integer factors of 4905 that divides 4905 without a remainder.

1,3,5,9,15,45,109,327,545,981,1635,4905

Greatest Common Factor

We found the factors 858,4905 . The biggest common factor number is the GCF number.
So the greatest common factor 858,4905 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 5705/858, 6873/4905

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 5705/858, 6873/4905?

Answer: LCM of Numerators as per given numbers 5705/858, 6873/4905 is

LCM of Numerators i.e. for 5705,6873 is 39210465

GCF of denominators i.e. for 858,4905 is 3.

Thus, LCM of Fractions is 13070155.Finally, LCM of Fractions for 5705/858, 6873/4905 is 13070155.